<div class="csl-bib-body">
<div class="csl-entry">Tsachev, T., & Veliov, V. M. (2017). Set-membership estimations for the evolution of infectious diseases in heterogeneous populations. <i>Journal of Mathematical Biology</i>. https://doi.org/10.1007/s00285-016-1050-0</div>
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The paper presents an approach for set-membership estimation of the state of a heterogeneous population in which an infectious disease is spreading. The population state may consist of susceptible, infected, recovered, etc. groups, where the individuals are heterogeneous with respect to traits, relevant to the particular disease. Set-membership estimations in this context are reasonable, since only vague information about the distribution of the population along the space of heterogeneity is available in practice. The presented approach comprises adapted versions of methods which are known in estimation and control theory, and involve solving parametrized families of optimization problems. Since the models of disease spreading in heterogeneous populations involve distributed systems (with non-local dynamics and endogenous boundary conditions), these problems are non-standard. The paper develops the needed theoretical instruments and a solution scheme. SI and SIR models of epidemic diseases are considered as case studies and the results reveal qualitative properties that may be of interest.
en
dc.description.sponsorship
Austrian Science Foundation (FWF)
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dc.language
English
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dc.language.iso
en
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dc.publisher
Springer
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dc.relation.ispartof
Journal of Mathematical Biology
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Epidemic models
en
dc.subject
Uncertain distributed systems
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dc.subject
Set-membership estimation
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dc.subject
Heterogeneous population models
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dc.subject
SI, SIR disease models
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dc.title
Set-membership estimations for the evolution of infectious diseases in heterogeneous populations
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.contributor.affiliation
Bulgarian Academy of Sciences, Bulgaria
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dc.relation.grantno
P 24125-N13
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dcterms.dateSubmitted
2015-08-26
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dc.rights.holder
The Author(s) 2016
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
vor
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dcterms.isPartOf.title
Journal of Mathematical Biology
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tuw.publication.orgunit
E105 - Institut für Stochastik und Wirtschaftsmathematik
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tuw.publisher.doi
10.1007/s00285-016-1050-0
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dc.date.onlinefirst
2016-09-07
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dc.identifier.eissn
1432-1416
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dc.identifier.libraryid
AC11361247
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-2859
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tuw.author.orcid
0000-0001-6737-1250
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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Publications
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item.fulltext
with Fulltext
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item.languageiso639-1
en
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item.openairetype
research article
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item.openaccessfulltext
Open Access
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item.grantfulltext
open
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crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik